Theorem dfom3 4506

Description: Alias for df-iom 4505. Use it instead of df-iom 4505 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4505	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 103   = wceq 1331   e. wcel 1480   {cab 2125   A.wral 2416   (/)c0 3363   |^|cint 3771   suc csuc 4287   omcom 4504

This theorem depends on definitions:  df-iom 4505

This theorem is referenced by:  omex  4507  peano1  4508  peano2  4509  peano5  4512  bj-dfom  13131